Question

Ray BD bisects angle ABC. Find the value of x.

Answer 1

x = 36°.
because ray BD is bisecting ABC, angles ABD and DBC must be equal. when you set (2x+24)° equal to (3x-12)°, and then solve x is 36.

Answer 2

Answer:

x = 36

Step-by-step explanation:

Given that,

$\angle ABD=(2x+24)^{\circ}$

and

$\angle CBD=(3x-12)^{\circ}$

Ray BD bisects angle ABC

To find,

The value of x.

Solution,

As ray BD bisects angle ABC. It means,

$\angle ABD=\angle CBD$

Substituting all the values,

$2x+24=3x-12$

Taking like terms together,

$2x-3x=-12-24\\\\-x=-36\\\\x=36$

So, the value of x is equal to 36.

Reference,

https://brainly.com/question/20130178